1. [-15 Points] DETAILS LARCALCET7 11.5.045. MY NOTES ASK YOUR TEACHER Find an equation of the plane with the given characteristics. The plane passes through [0, O, O), (6, 0, 5}, and (76, 71, 5). : Show My Work (Required) 9 What steps or reasoning did you use? Your work counls towards your score. You can submit Show my work an unlimited number of times, Uploaded File (10 \"'5 malimum) No Files to Display Q Upload File Show My Work has not been graded yet' 2. [-15 Points] DETAILS LARCALCET7 13.6.024. MY NOTES ASK YOUR TEACHER Find the directional derivative of the function at P in the direction of v. f(x,y,z) =xy+ yz+xz, P(6, 7, 6), V: 12i +j k : 1. [-/5 Points] DETAILS LARCALCET7 13.7.034. MY NOTES ASK YOUR TEACHER Find the angle of inclination 0 of the tangent plane to the surface at the given point. (Round your answer to two decimal places.) 2xy - 23 = 0, (2, 2, 2) 0 = Show My Work (Required) ? What steps or reasoning did you use? Your work counts towards your score. You can submit show my work an unlimited number of times. Uploaded File (10 file maximum) No Files to Display + Upload File Show My Work has not been graded yet. 2. [-/8 Points] DETAILS LARCALCET7 14.1.057. MY NOTES ASK YOUR TEACHER Sketch the region R whose area is given by the iterated integral. dy dx O 2 6 O N W A O Change the order of integration and show that both orders yield the same area. dx dy =1. [-15 Points] DETAILS LARCALCET7 14.1.025. MY NOTES ASK YOUR TEACHER Evaluate the iterated integral. In? 18 {105(8) / f r dr d9 0 0 Show My Work (Required) 0 What steps or reasoning did you use? Your work counts towards your score. You can submit Show my work an unlimited number of ti mes. Uploaded File (10 le malimuml No Files to Display {33 Upload File Show My Work has not been graded yet. 2. [-15 Points] DETAILS LARCALCET7 14.2.025. MY NOTES ASK YOUR TEACHER Use a double integral to nd the volume of the indicated solid. :i 1. [-16 Points] DETAILS LARCALCETT 13.8.039. MY NOTES ASK YOUR TEACHER Find the absolute extrema of the function over the region R. (In each case, R contains the boundaries.) Use a computer algebra system to confirm your results. f(x,y)=x274xy+7 R={(x,y):1$x4,0$y2} absolute maximum (x, y, z) = ( ) absolute minimum (x, y, z) = ( ) Show My Work (Required) 9 What steps or reasoning did you use? Your work counls towards your score. You can submit show my work an unlimited number of times, Uploaded File {10 \"'5 maximum) No Files to Display Q Upload File Show My Work has not been graded yet. 2. [-l7 Points] DETAILS LARCALCET7 14.1.041. MY NOTES ASK YOUR TEACHER Use an iterated integral to find the area of the region bounded by the graphs of the equations. y=64ex2 y=x+8